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Finding the Fourth Proportional to 496.13, 684.56 and 319.14

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Solution

The fourth proportional to 496.13, 684.56 and 319.14 is: 440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.13 : 684.56 = 319.14 : x
  2. Step 2: Convert to fraction form
    496.13/684.56 = 319.14/x
  3. Step 3: Cross multiply
    496.13x = 684.56 × 319.14
  4. Step 4: Simplify right side
    496.13x = 218,468.88
  5. Step 5: Solve for x
    x = 218,468.88/496.13
  6. Step 6: Final answer
    x = 440.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.